# Worksheet: Rearranging Formulas for Physical Quantities

In this worksheet, we will practice changing the subject of a formula and recognising valid rearrangements of combinations of formulas.

Q1:

One side of the formula is . The formula is rearranged so that one side of the formula is equal to . Which of the following is the other side of the formula equal to?

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Q2:

Kinetic energy is given by the formula . The weight, , of an object is . Which of the following is a correct formula that has a subject equal to the ratio of the kinetic energy of an object to its weight?

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Q3:

The subject of the formula is force. Which of the following correctly shows the same formula with acceleration as the subject of the formula?

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Q4:

The subject of the formula is speed. Which of the following correctly shows the same formula with time as the subject of the formula?

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Q5:

The subject of the formula is acceleration. Which of the following correctly shows the same formula with time as the subject of the formula?

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Q6:

The subject of the formula for the volume of a cube, , is volume. Which of the following correctly shows the same formula with side length as the subject of the formula?

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Q7:

The momentum of an object is given by the formula , expressed in symbols as . The velocity of an object is given by the formula , expressed in symbols as . Which of the following is a correct formula?

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Q8:

Gravitational potential energy is given by the formula , where is the energy, is the mass, is the acceleration due to gravity, and is the height. Acceleration is given by the formula , written in symbols as . Which of the following is a correct formula?

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Q9:

The subject of the formula is acceleration. Which of the following correctly shows the same formula with final velocity as the subject of the formula?

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